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Finding the Fourth Proportional to 30,457.14, 45,685.26 and 8,271

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Solution

The fourth proportional to 30,457.14, 45,685.26 and 8,271 is: 12,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,457.14 : 45,685.26 = 8,271 : x
  2. Step 2: Convert to fraction form
    30,457.14/45,685.26 = 8,271/x
  3. Step 3: Cross multiply
    30,457.14x = 45,685.26 × 8,271
  4. Step 4: Simplify right side
    30,457.14x = 377,862,785.46
  5. Step 5: Solve for x
    x = 377,862,785.46/30,457.14
  6. Step 6: Final answer
    x = 12,406.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.